Extensions 1→N→G→Q→1 with N=C3:C8 and Q=C10

Direct product G=NxQ with N=C3:C8 and Q=C10
dρLabelID
C10xC3:C8240C10xC3:C8240,54

Semidirect products G=N:Q with N=C3:C8 and Q=C10
extensionφ:Q→Out NdρLabelID
C3:C8:1C10 = C5xD4:S3φ: C10/C5C2 ⊆ Out C3:C81204C3:C8:1C10240,60
C3:C8:2C10 = C5xD4.S3φ: C10/C5C2 ⊆ Out C3:C81204C3:C8:2C10240,61
C3:C8:3C10 = C5xQ8:2S3φ: C10/C5C2 ⊆ Out C3:C81204C3:C8:3C10240,62
C3:C8:4C10 = C5xC8:S3φ: C10/C5C2 ⊆ Out C3:C81202C3:C8:4C10240,50
C3:C8:5C10 = C5xC4.Dic3φ: C10/C5C2 ⊆ Out C3:C81202C3:C8:5C10240,55
C3:C8:6C10 = S3xC40φ: trivial image1202C3:C8:6C10240,49

Non-split extensions G=N.Q with N=C3:C8 and Q=C10
extensionφ:Q→Out NdρLabelID
C3:C8.C10 = C5xC3:Q16φ: C10/C5C2 ⊆ Out C3:C82404C3:C8.C10240,63

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